On non-existence of global solutions to a class of stochastic heat equations

Mohammud Foondun, Rana Parshad

We consider nonlinear parabolic SPDEs of the form ${\partial }_{t}u=-(-\Delta {)}^{\alpha /2}u+b(u)+\sigma (u)\dot{w}$, where$\dot{w}$ denotes space-time white noise. The functions $b$ and $\sigma$ are both…